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Finding the Third Proportional to 346.31 and 507.99

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Solution

The third proportional to 346.31 and 507.99 is: 745.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.31 : 507.99 = 507.99 : x
  2. Step 2: Convert to fraction form
    346.31/507.99 = 507.99/x
  3. Step 3: Cross multiply
    346.31x = 507.99 × 507.99
  4. Step 4: Simplify right side
    346.31x = 258,054.08
  5. Step 5: Solve for x
    x = 258,054.08/346.31
  6. Step 6: Final answer
    x = 745.16

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.